Symmetry and bifurcations of planar configurations of the N-body and other problems
| dc.contributor.author | Glass, Kathryn | en |
| dc.date.accessioned | 2026-01-01T16:42:05Z | |
| dc.date.available | 2026-01-01T16:42:05Z | |
| dc.date.issued | 2000 | en |
| dc.description.abstract | We describe a system of equations containing a real parameter β and an integer parameter N ≥ 2. Equilibria of these equations are in turn asymptotic shapes of systems of repelling particles for β = 0, central configurations with equal mass of the N-body problem for β = 1, and approximate solutions of a sphere-packing problem for β large. We introduce some asymmetric equilibria of these equations for N = 6 and 7, and identify and discuss the bifurcations that occur in this system for 5 ≤ N ≤ 8. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 15 | en |
| dc.identifier.issn | 1468-9367 | en |
| dc.identifier.other | ORCID:/0000-0001-5905-1310/work/171155767 | en |
| dc.identifier.scopus | 0346108449 | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733801710 | |
| dc.language.iso | en | en |
| dc.source | Dynamical Systems | en |
| dc.title | Symmetry and bifurcations of planar configurations of the N-body and other problems | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 73 | en |
| local.bibliographicCitation.startpage | 59 | en |
| local.contributor.affiliation | Glass, Kathryn; University of Cambridge | en |
| local.identifier.citationvolume | 15 | en |
| local.identifier.doi | 10.1080/713603736 | en |
| local.identifier.pure | a542ab01-4162-44ef-a7b0-fc7048ce7ccd | en |
| local.identifier.url | https://www.scopus.com/pages/publications/0346108449 | en |
| local.type.status | Published | en |
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